MAT 110 Lecture Notes - Lecture 13: Precalculus
Document Summary
Provide a generalization to each of the key terms listed in this section. 1 f (x) and g(x: identically equal: f (x) = g(x) for every single x-value, conditional equation: equations that are not an identity. Common identities: tan = cot = sin cos cos sin . Uncommon identities: sin = sin cos cos . = sin (cid:18) cos sin (cid:19) = sin cot . Uncommon identities: csc = sec = cot = 1 tan sin = sin ( ) 1 sec tan = sin cos . Uncommon identities: sin2 + cos2 = 1 tan2 + 1 = sec2 cot2 + 1 = csc2 sec2 tan2 = 1 csc2 cot2 = 1. 5 even-odd identities sin ( ) = sin cos ( ) = cos tan ( ) = tan csc ( ) = csc sec ( ) = sec cot ( ) = cot . [most of the time] best to start with the side with more complicated expressions.
